How Do Quasicrystals Grow?

Abstract

Using molecular simulations, we show that the aperiodic growth of quasicrystals is controlled by the ability of the growing quasicrystal `nucleus' to incorporate kinetically trapped atoms into the solid phase with minimal rearrangement. In the system under investigation, which forms a dodecagonal quasicrystal, we show that this process occurs through the assimilation of stable icosahedral clusters by the growing quasicrystal. Our results demonstrate how local atomic interactions give rise to the long-range aperiodicity of quasicrystals.

4 pages, 4 figures. Figures and text have been updated to the final version of the article

References in corpus (2)

• The favoured cluster structures of model glass formers
• Icosahedral packing of polymer-tethered nanospheres and stabilization of the gyroid phase

Cited by in corpus (31)

• The role of local structure in dynamical arrest
• Disordered, Quasicrystalline and Crystalline Phases of Densely Packed Tetrahedra
• Shortcomings of the Bond Orientational Order Parameters for the Analysis of Disordered Particulate Matter
• Self Assembly of Soft Matter Quasicrystals and Their Approximants
• Stability of Quasicrystals Composed of Soft Isotropic Particles
• Controlled self-assembly of periodic and aperiodic cluster crystals
• Quasicrystalline order and a crystal-liquid state in a soft-core fluid
• Proliferation of anomalous symmetries in colloidal monolayers subjected to quasiperiodic light fields
• Growth modes of quasicrystals
• Formation of dodecagonal quasicrystals in two-dimensional systems of patchy particles
• Characterizing Structure Through Shape Matching and Applications to Self Assembly
• Stability of Two-Dimensional Soft Quasicrystals
• Computing phase diagrams for a quasicrystal-forming patchy-particle system
• Soft-core particles freezing to form a quasicrystal and a crystal-liquid phase
• Degenerate Quasicrystal of Hard Triangular Bipyramids
• Shear Induced Structural Ordering of a Model Metallic Glass
• Self-assembly of the decagonal quasicrystalline order in simple three-dimensional systems
• Multiple-scale structures: from Faraday waves to soft-matter quasicrystals
• Self-assembly of two-dimensional binary quasicrystals: A possible route to a DNA quasicrystal
• A Structural Model for Octagonal Quasicrystals Derived from Octagonal Symmetry Elements Arising in $\beta$-Mn Crystallization of a Simple Monatomic Liquid
• Structural complexity in monodisperse systems of isotropic particles
• GCIceNet: A Graph Convolutional Network for Accurate Classification of Water Phases
• A Tale of Two Tilings
• Glass formation in binary alloys with different atomic symmetries
• Local structural features elucidate crystallization of complex structures
• Magnetism, FeS colloids, and Origins of Life
• Formation and Fluctuation of Two-dimensional Dodecagonal Quasicrystal
• Harmonic Order Parameters for Characterizing Complex Particle Morphologies
• Softening the "crystal-scaffold" for life's emergence
• Formation of a single quasicrystal upon collision of multiple grains
• Modeling dislocations in quasicrystals through amplitude equations